Question: please do fast!! i will rate you good for sure!! Let random variable (RV) X with alphabet A = {1, 2, ...,6} denote the outcome

please do fast!! i will rate you good for sure!! Let

please do fast!! i will rate you good for sure!!

Let random variable (RV) X with alphabet A = {1, 2, ...,6} denote the outcome of the toss of a biased die such that its probability mass function (pmf) Px satisfies Px(1) = Px(3) = Px(5) = 3Px(2) = 3Px(4) = 3Px (6). (a) Determine the entropy of X, H(X), in bits. (b) Now the biased die is tossed once. If its outcome X is odd, a fair coin is tossed once; if X is even, the coin is tossed twice. Letting Y denote the number of tails obtained, determine I(X; Y ) in bits

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